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Simplifying 2w + -1(w + 5) + 8 = 0 Reorder the terms: 2w + -1(5 + w) + 8 = 0 2w + (5 * -1 + w * -1) + 8 = 0 2w + (-5 + -1w) + 8 = 0 Reorder the terms: -5 + 8 + 2w + -1w = 0 Combine like terms: -5 + 8 = 3 3 + 2w + -1w = 0 Combine like terms: 2w + -1w = 1w 3 + 1w = 0 Solving 3 + 1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = 0 + -3 1w = 0 + -3 Combine like terms: 0 + -3 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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